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2 years ago

Factor 2xz - 3yz + 8x - 12y completely. If the polynomial is not factorable, write prime. SHOW YOUR WORK FOR FULL CREDIT!

2 answers:

6 0

Steps: Factor The Expression
2xz-3yz+8x-12y

Factor out z from the first 2 terms.
z*(2x-3y)+8x-12y.

Factor out 4 from the last 2 terms.
GCF of 8 and 12 is 4.
z*(2x-3y)+4(2x-3y)

Factor out 2x- 3y from the
expression.

(2x-3y)*(z+4)

Final Answer: (2x-3y)*(z+4)

Mars2501 [29]2 years ago

3 0

X57 I think no just doing this for points so made a random number lol

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3 years ago

With Obesity on the rise, a Doctor wants to see if there is a linear relationship between the Age and Weight and estimating a pe

Romashka [77]

Answer:

112.569 ( D )

Step-by-step explanation:

Applying the estimated Regression Equation

y = b1X1 + b2X2 + a

b1 = ((SPX1Y)*(SSX2)-(SPX1X2)*(SPX2Y)) / ((SSX1)*(SSX2)-(SPX1X2)*(SPX1X2)) = 596494.5/635355.88 = 0.93884

b2 = ((SPX2Y)*(SSX1)-(SPX1X2)*(SPX1Y)) / ((SSX1)*(SSX2)-(SPX1X2)*(SPX1X2)) = 196481.5/635355.88 = 0.30925

a = MY - b1MX1 - b2MX2 = 149.25 - (0.94*61.31) - (0.31*193.88) = 31.73252

y = 0.939X1 + 0.309X2 + 31.733

For x1 ( age ) =39, and x2(weight) =143

y = (0.93884*39) + (0.30925*143) + 31.73252= 112.569

where

Sum of X1 = 981

Sum of X2 = 3102

Sum of Y = 2388

Mean X1 = 61.3125

Mean X2 = 193.875

Mean Y = 149.25

attached is the Tabular calculation of the required values needed for estimated regression equation

8 0

3 years ago

The product of the number of songs and $0.99 is $7.92 please help algebraic expression / equation

Step2247 [10]

Lets x = the number of songs

The product of the number of songs and $0.99 = 0.99 times x = 0.99x

The product of the number of songs and $0.99 is $7.92:

0.99x = 7.92

Hope that helps.

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3 years ago

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The expression 2( 21x + 75 ) represents the monthly tuition and the one-time materials fee that Jamie pays for his two children

ss7ja [257]

Answer: x represents the number of months, 150 represents one-time materials fee, 2( 21x + 75 ) represents total fees in x months and 42 represents rate of change.

Step-by-step explanation:

Since, Here the expression 2( 21x + 75 ) represents the monthly tuition and the one-time materials fee that Jamie pays for his two children to join a science club.

Let, f(x) represents the monthly tuition fee

Therefore, f(x)= 2( 21x + 75 )

⇒f(x)= 42 x +150

Again according to the question, there is a one-time materials fee which must be free from the variable.

Therefore In f(x) , 150 must represent one time material fees.

And, x is variable, and here number of months is a variable.

Thus, x must be denote the number of months.

And, 42 must be denote the fees for 1 month.

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3 years ago